GCD of 185, 521, 230, 972 Calculator

Given Input numbers are 185, 521, 230, 972

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Greatest Common Divisior

We found the divisors of 185, 521, 230, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 185, 521, 230, 972 is 1.

Therefore, GCD of numbers 185, 521, 230, 972 is 1

Given Input Data is 185, 521, 230, 972

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 185 is 5 x 37

Prime Factorization of 521 is 521

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(185, 521) = 96385

GCD(185, 521) = ( 185 x 521 ) / 96385

GCD(185, 521) = 96385 / 96385

GCD(185, 521) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 230

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 230) = 230

GCD(1, 230) = ( 1 x 230 ) / 230

GCD(1, 230) = 230 / 230

GCD(1, 230) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

GCD of 185, 521, 230, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 153, 989, 217, 558
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1. What is the GCD of 185, 521, 230, 972?

GCD of 185, 521, 230, 972 is 1

2. Where do I get the detailed procedure to find GCD of 185, 521, 230, 972?

You can find a detailed procedure to find GCD of 185, 521, 230, 972 on our page.

3. How to find GCD of 185, 521, 230, 972 on a calculator?

You can find the GCD of 185, 521, 230, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.